Author here. The short version: softmax's partition function has complex zeros — from e^{iπ}+1=0 — that are invisible on the real line but cap safe step sizes at ρₐ = π/Δₐ. One JVP to compute. The repo has Colab notebooks if you want to poke at it. Happy to answer questions.

Full paper https://arxiv.org/html/2603.13552v1

Nice work! The paper feels verbose at times and could use some editing to slim it down (also, equation 6 is just equation 5 in a box) but I enjoyed it a lot nonetheless.

The article is so banal

So your "true core count" for the entire Summit supercomputer will be one if you run Dijkstra's SSSP on it?

What is the bullshit factor for your "true core count"?

>There's no reason to visit a doctor for the common cold.

That's such an american thing to say. A flu can be swine flu and fever can be Malaria or Dangue and one day delay can mean losing your life, so people in many parts of the world take fever and flu seriously.

A common cold and a flu are two different things.

No mention of the most famous Russian book among Indian high Schoolers: [Problems in General Physics by I E Irodov](https://www.amazon.com/Problems-General-Physics-I-Irodov/dp/...)?

Heh! Irodov problems were dope... Spend multiple days putting over the same problem and the exhilaration when you finally crack it!

Still brings back memories

I have spent so much time with this book growing up. It was THE Book to solve to get the bragging rights that you know your physics.

For REAL bragging rights, you had to solve Krotov :)

Bukhantsov was the real deal. Higher than Krotov

Never heard of it. Will check it out. Thank you!

PS: One of the highest points during my college prep days was when I managed to solve this kinematics problem from Krotov where the condition for a ball bouncing in a well to get out depends on the ratio of some parameters to be co prime. Good times.

Ah I still ‘see’ the tiny fonts when I think about the book..

There was a Mir Publishers bookshop close to my college in Patna and I would make regular visits in hope of landing gems like IE Irodov. Alas, most other Science books were so so and nowhere near their American counterparts (Halliday Resnick for Physics, Morrison Boyd for Chemistry comes to mind).

The Soviets did have the Landau book for physics, though I do not know if it was made available in India.

I should put a word for an Indian publishing house named Narosa which put out cheap editions of text books(mostly western) like the Feynman Lectures, Fermi's Thermodynamics, etc.

Landsberg's series on Elementary Physics[0] would be a more appropriate counterpart to Resnick & Halliday etc, targeted towards those preparing for university exams. Narosa has a great collection indeed.

0 - https://archive.org/details/LandsbergElementaryTextbookOnPhy...

Yes, I've bought computer books from Narosa and they were good. I think they had tie-ups with western publishing houses like Springer-Verlag, etc.

Haha, this brings back memories! Spent so much time slouching over this book and taking a crack at the problems. Thanks for comment and triggering a trip down the memory lane :)

don't forget i.a. maron for calculus :)

Yes, it is very normal in an unstructured life, many very smart graduate students at the top universities struggle with it. It is the curse of freedom. People don't realize a regular 9-5 job gives them routine, social commitments and a visible positive feedback on a good job done in a timely manner, and a negative feedback otherwise (both positive and negative social feedback are stronger than self-awarded rewards and punishments).